On a Pointwise Convergence of Quasi-Periodic-Rational Trigonometric Interpolation | Zendy

Arnak Poghosyan | Zendy; Lusine Poghosyan | Zendy

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On a Pointwise Convergence of Quasi-Periodic-Rational Trigonometric Interpolation

Author(s) -

Arnak Poghosyan,

Lusine Poghosyan

Publication year - 2014

Publication title -

international journal of analysis

Language(s) - English

Resource type - Journals

eISSN - 2314-4998

pISSN - 2314-498X

DOI - 10.1155/2014/249513

Subject(s) - trigonometric interpolation , mathematics , interpolation (computer graphics) , pointwise convergence , pointwise , trigonometric polynomial , trigonometry , convergence (economics) , trigonometric series , mathematical analysis , polynomial interpolation , realization (probability) , linear interpolation , polynomial , computer science , statistics , economics , animation , approx , computer graphics (images) , economic growth , operating system

We introduce a procedure for convergence acceleration of the quasi-periodic trigonometric interpolation by application of rational corrections which leads to quasi-periodic-rationaltrigonometric interpolation. Rational corrections contain unknown parameters whose determination is important for realization of interpolation. We investigate the pointwise convergenceof the resultant interpolation for special choice of the unknown parameters and derive the exactconstants of the main terms of asymptotic errors

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